CONDITIONS OF QUASI-PERIODIC OSCILLATION DESTRUCTION IN THE WEAKLY NONLINEAR DUFFING OSCILLATOR

被引：13

作者：

RYABOV, VB

VAVRIV, DM

机构：

[1] Department of Electronics, Institute of Radio Astronomy, 310002 Kharkov

来源：

PHYSICS LETTERS A | 1991年 / 153卷 / 8-9期

关键词：

D O I：

10.1016/0375-9601(91)90692-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Analytical conditions of the onset of chaos in the weakly nonlinear Duffing equation with a quasiperiodic excitation are obtained in the framework of Melnikov's method. The comparison with the results of a numerical simulation is made. Characteristic features of oscillator dynamics associated with the arising of chaotic and multistable states are considered.

引用

页码：431 / 436

页数：6

共 10 条

[1]

BELOGORTSEV AB, 1987, ZH EKSP TEOR FIZ+, V65, P737

[2]

BELOGORTSEV AB, 1990, P INT C NOISE PHYSIC, P657

[3]

BULGAKOV SA, IN PRESS J LOW TEMP

[4]

Guckenheimer J, 2013, NONLINEAR OSCILLATIO, V42

[5] NON-LINEAR OSCILLATOR WITH A STRANGE ATTRACTOR [J].

HOLMES, P .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 292 (1394) :419-448

[6] COMBINED BIFURCATIONS AND TRANSITION TO CHAOS IN A NON-LINEAR OSCILLATOR WITH 2 EXTERNAL PERIODIC FORCES [J].

KAPITANIAK, T .

JOURNAL OF SOUND AND VIBRATION, 1988, 121 (02) :259-268

[7]

MELNIKOV VK, 1963, T MOSCOW MATH SOC, V12, P1

[8] CHAOTIC MOTION OF A WEAKLY NONLINEAR, MODULATED OSCILLATOR [J].

MILES, J .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-PHYSICAL SCIENCES, 1984, 81 (12) :3919-3923

[9] CHAOS IN THE QUASI-PERIODICALLY FORCED DUFFING OSCILLATOR [J].

WIGGINS, S .

PHYSICS LETTERS A, 1987, 124 (03) :138-142

[10]

YU I, 1990, P INT C NOISE PHYSIC, P651

← 1 →